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Calculation of the Vacuum Energy Density using Zeta Function Regularization
1  Ronin Institute
Academic Editor: Gerald Cleaver

Published: 17 February 2023 by MDPI in 2nd Electronic Conference on Universe session Field Theory
Abstract:

Much has been written on the vacuum catastrophe and cosmological constant problem where we have the worst discrepancy between theory and measurement of about a factor of 120 orders of magnitude. In this paper, we improve this discrepancy by more than half which still remains very high, but also propose 3 avenues, one of which is an exciting prediction of a missing bosonic particle, that can help resolve the vacuum catastrophe. The paper builds on the standard theoretical calculation of the vacuum energy density using a quantum harmonic oscillator model and then sums the contributions of all the Standard Model's quantum fields vacuum states. The basis for this calculation is a new Zeta function regularization method used to tame the infinities present in the improper integrals of power functions. The paper also presents a few other findings in the area of vacuum energy.

Keywords: Vacuum Energy, Vacuum Catastrophe, Cosmological Constant problem, Zeta function regularization
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